一种用于非均匀网格划分的低数值色散的AA-ID-FDTD方法  

A Low Numerical Dispersion ID-FDTD Method with Artificial Anisotropy Parameters for Non-Uniform Grid

作　　者：刘桂英 谢孟洪 赵珉 陈伟军 LIU Gui-ying;XIE Meng-hong;ZHAO Min;CHEN Wei-jun(Lingnan Normal University,School of Information Engineering,Zhanjiang Guangdong 524048)

机构地区：[1]岭南师范学院信息工程学院,广东湛江524048

出　　处：《数字技术与应用》2021年第6期31-33,共3页Digital Technology & Application

摘　　要：为了降低由非均匀网格划分引起的数值色散误差,本文提出了一种人工各项异性参数(AA)修正的各向同性色散(ID)时域有限差分方法(FDTD)。即在推导二维TE波的更新函数中引入ID有限差分和AA参数。文中给出了该方法能够抑制数值色散误差的理论分析。以平面波在添加了绝缘材料的二维空间传播模型,证明该方法的有效性。和现存的方法相比,在不增加计算成本的情况下,本文提出的AA-ID-FDTD方法能够降低非均匀网格划分引起的数值色散误差并提高计算精度。A finite-difference time-domain(FDTD)method based on isotropic dispersion(ID)finite difference scheme and artificial anisotropy(AA)parameters is proposed to reduce numerical dispersion error(NDE)induced by the non-uniform meshing of multiscale configurations.The update functions of two-dimensional TEz waves are obtained by introducing the ID finite difference and AA parameters in the derivation procedure.The theoretical analysis of utilizing AA-ID-FDTD for the suppression of numerical dispersion error is also presented.To verify the validation of proposed approach,the propagation of plane wave in a two-dimensional(2-D)cavity that filled with dielectric material is modeled.Compared with the existing approaches,the proposed method achieves lower numerical dispersion error and improved accuracy without increasing the computational cost for non-uniform grid.

关 键 词：人工各向异性 时域有限差分 各向同性色散 数值色散误差 

分 类 号：TN929[电子电信—通信与信息系统]